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Finding the Fourth Proportional to 70,896.78, 97,836.74 and 40,269.67

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Solution

The fourth proportional to 70,896.78, 97,836.74 and 40,269.67 is: 55,571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,896.78 : 97,836.74 = 40,269.67 : x
  2. Step 2: Convert to fraction form
    70,896.78/97,836.74 = 40,269.67/x
  3. Step 3: Cross multiply
    70,896.78x = 97,836.74 × 40,269.67
  4. Step 4: Simplify right side
    70,896.78x = 3,939,853,233.68
  5. Step 5: Solve for x
    x = 3,939,853,233.68/70,896.78
  6. Step 6: Final answer
    x = 55,571.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.